Answer:
[tex]a=\frac{b+5}{x}[/tex]
Step-by-step explanation:
To solve for "[tex]a[/tex]" in the equation: [tex]ax-5=b[/tex], we apply operations on both sides of the equality such that lead us to isolate the value we need to solve for (in our case [tex]a[/tex]) on one side of the equal sign.
Let's start by "adding" 5 to both sides, so we eliminate it on the left, proceeding to isolate the term that contains [tex]a[/tex]:
[tex]ax-5=b\\ax-5+5=b+5\\ax=b+5[/tex]
now proceed to eliminate the factor "x" that multiplies "[tex]a[/tex]", by dividing both sides by "x":
[tex]ax=b+5\\\frac{ax}{x} =\frac{b+5}{x}\\a=\frac{b+5}{x}[/tex]
[tex]a[/tex] has been isolated on one side of the equal sign, so this is the expression we got for it: [tex]a=\frac{b+5}{x}[/tex]
